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Exact solutions of classical central-force problems
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<p>In the <a href="/facts/Classical_central-force_problem/jU7Ys65c">classical central-force problem</a> of <a href="/facts/Classical_mechanics/ykG8upsN">classical mechanics</a>, some <a href="/facts/Potential_energy/I03KLbmn">potential energy</a> functions V ( r ) {\displaystyle V(r)} produce motions or orbits that can be expressed in terms of well-known functions, such as the <a href="/facts/Trigonometric_functions/czej7ur0">trigonometric functions</a> and <a href="/facts/Elliptic_functions/mF03oI04">elliptic functions</a>. This article describes these functions and the corresponding solutions for the orbits. </p>